To solve the multiplication of fractions, you simply multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together.
Here's how to multiply 4/15 × 30/49 × 7/8:
Numerators: 4 × 30 × 7 Denominators: 15 × 49 × 8
First, calculate the numerator: 4 × 30 × 7 = 120 × 7 = 840
And now the denominator: 15 × 49 × 8 = 735 × 8 = 5880
So the product is: 840/5880
But this fraction can be simplified. To do this, divide both the numerator and the denominator by their greatest common divisor. In this case, the greatest common divisor of 840 and 5880 is 840.
840 ÷ 840 = 1 5880 ÷ 840 = 7
Therefore, the simplified product is: 1/7
So, 4/15 × 30/49 × 7/8 simplifies to 1/7.
